Optimal Control of Dynamic Operations Research Models

Optimal Control of Dynamic Operations Research Models PDF Author: Michael M. Connors
Publisher:
ISBN:
Category : Calculus of variations
Languages : en
Pages : 138

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Book Description

Optimal Control of Dynamic Operations Research Models

Optimal Control of Dynamic Operations Research Models PDF Author: Michael M. Connors
Publisher:
ISBN:
Category : Calculus of variations
Languages : en
Pages : 138

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Book Description


Optimal Control of Dynamic Operations Research Methods

Optimal Control of Dynamic Operations Research Methods PDF Author: Michael M. Connors
Publisher:
ISBN:
Category :
Languages : en
Pages : 118

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Book Description


Uncertain Optimal Control

Uncertain Optimal Control PDF Author: Yuanguo Zhu
Publisher: Springer
ISBN: 9811321345
Category : Technology & Engineering
Languages : en
Pages : 211

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Book Description
This book introduces the theory and applications of uncertain optimal control, and establishes two types of models including expected value uncertain optimal control and optimistic value uncertain optimal control. These models, which have continuous-time forms and discrete-time forms, make use of dynamic programming. The uncertain optimal control theory relates to equations of optimality, uncertain bang-bang optimal control, optimal control with switched uncertain system, and optimal control for uncertain system with time-delay. Uncertain optimal control has applications in portfolio selection, engineering, and games. The book is a useful resource for researchers, engineers, and students in the fields of mathematics, cybernetics, operations research, industrial engineering, artificial intelligence, economics, and management science.

Optimal Control Theory

Optimal Control Theory PDF Author: Suresh P. Sethi
Publisher: Springer Nature
ISBN: 3030917452
Category : Business & Economics
Languages : en
Pages : 520

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Book Description
This new 4th edition offers an introduction to optimal control theory and its diverse applications in management science and economics. It introduces students to the concept of the maximum principle in continuous (as well as discrete) time by combining dynamic programming and Kuhn-Tucker theory. While some mathematical background is needed, the emphasis of the book is not on mathematical rigor, but on modeling realistic situations encountered in business and economics. It applies optimal control theory to the functional areas of management including finance, production and marketing, as well as the economics of growth and of natural resources. In addition, it features material on stochastic Nash and Stackelberg differential games and an adverse selection model in the principal-agent framework. Exercises are included in each chapter, while the answers to selected exercises help deepen readers’ understanding of the material covered. Also included are appendices of supplementary material on the solution of differential equations, the calculus of variations and its ties to the maximum principle, and special topics including the Kalman filter, certainty equivalence, singular control, a global saddle point theorem, Sethi-Skiba points, and distributed parameter systems. Optimal control methods are used to determine optimal ways to control a dynamic system. The theoretical work in this field serves as the foundation for the book, in which the author applies it to business management problems developed from his own research and classroom instruction. The new edition has been refined and updated, making it a valuable resource for graduate courses on applied optimal control theory, but also for financial and industrial engineers, economists, and operational researchers interested in applying dynamic optimization in their fields.

Optimisation and Control of Dynamic Operational Research Models

Optimisation and Control of Dynamic Operational Research Models PDF Author: S. G. Tzafestas
Publisher: North Holland
ISBN:
Category : Business & Economics
Languages : en
Pages : 472

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Book Description


Optimal Control Theory

Optimal Control Theory PDF Author: Suresh P. Sethi
Publisher: Taylor & Francis US
ISBN: 9780387280929
Category : Business & Economics
Languages : en
Pages : 536

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Book Description
Optimal control methods are used to determine optimal ways to control a dynamic system. The theoretical work in this field serves as a foundation for the book, which the authors have applied to business management problems developed from their research and classroom instruction. Sethi and Thompson have provided management science and economics communities with a thoroughly revised edition of their classic text on Optimal Control Theory. The new edition has been completely refined with careful attention to the text and graphic material presentation. Chapters cover a range of topics including finance, production and inventory problems, marketing problems, machine maintenance and replacement, problems of optimal consumption of natural resources, and applications of control theory to economics. The book contains new results that were not available when the first edition was published, as well as an expansion of the material on stochastic optimal control theory.

Business Dynamics Models

Business Dynamics Models PDF Author: Eugenius Kaszkurewicz
Publisher: SIAM
ISBN: 1611977312
Category : Mathematics
Languages : en
Pages : 208

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Book Description
This book introduces optimal control methods, formulated as optimization problems, applied to business dynamics problems. Business dynamics refers to a combination of business management and financial objectives embedded in a dynamical system model. The model is subject to a control that optimizes a performance index and takes both management and financial aspects into account. Business Dynamics Models: Optimization-Based One Step Ahead Optimal Control includes solutions that provide a rationale for the use of optimal control and guidelines for further investigation into more complex models, as well as formulations that can also be used in a so-called flight simulator mode to investigate different complex scenarios. The text offers a modern programming environment (Jupyter notebooks in JuMP/Julia) for modeling, simulation, and optimization, and Julia code and notebooks are provided on a website for readers to experiment with their own examples. This book is intended for students majoring in applied mathematics, business, and engineering. The authors use a formulation-algorithm-example approach, rather than the classical definition-theorem-proof, making the material understandable to senior undergraduates and beginning graduates.

Introductory Optimization Dynamics

Introductory Optimization Dynamics PDF Author: P.N.V. Tu
Publisher: Springer Science & Business Media
ISBN: 3662007193
Category : Business & Economics
Languages : en
Pages : 401

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Book Description
Optimal Control theory has been increasingly used in Economi- and Management Science in the last fifteen years or so. It is now commonplace, even at textbook level. It has been applied to a great many areas of Economics and Management Science, such as Optimal Growth, Optimal Population, Pollution control, Natural Resources, Bioeconomics, Education, International Trade, Monopoly, Oligopoly and Duopoly, Urban and Regional Economics, Arms Race control, Business Finance, Inventory Planning, Marketing, Maintenance and Replacement policy and many others. It is a powerful tool of dynamic optimization. There is no doubt social sciences students should be familiar with this tool, if not for their own research, at least for reading the literature. These Lecture Notes attempt to provide a plain exposition of Optimal Control Theory, with a number of economic examples and applications designed mainly to illustrate the various techniques and point out the wide range of possible applications rather than to treat exhaustively any area of economic theory or policy. Chapters 2,3 and 4 are devoted to the Calculus of Variations, Chapter 5 develops Optimal Control theory from the Variational approach, Chapter 6 deals with the problems of constrained state and control variables , Chapter 7, with Linear Control models and Chapter 8, with stabilization models. Discrete systems are discussed in Chapter 9 and Sensitivity analysis in Chapter 10. Chapter 11 presents a wide range of Economics and Management Science applications.

Operations Research: Introduction To Models And Methods

Operations Research: Introduction To Models And Methods PDF Author: Richard Johannes Boucherie
Publisher: World Scientific
ISBN: 9811239363
Category : Mathematics
Languages : en
Pages : 512

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Book Description
This attractive textbook with its easy-to-follow presentation provides a down-to-earth introduction to operations research for students in a wide range of fields such as engineering, business analytics, mathematics and statistics, computer science, and econometrics. It is the result of many years of teaching and collective feedback from students.The book covers the basic models in both deterministic and stochastic operations research and is a springboard to more specialized texts, either practical or theoretical. The emphasis is on useful models and interpreting the solutions in the context of concrete applications.The text is divided into several parts. The first three chapters deal exclusively with deterministic models, including linear programming with sensitivity analysis, integer programming and heuristics, and network analysis. The next three chapters primarily cover basic stochastic models and techniques, including decision trees, dynamic programming, optimal stopping, production planning, and inventory control. The final five chapters contain more advanced material, such as discrete-time and continuous-time Markov chains, Markov decision processes, queueing models, and discrete-event simulation.Each chapter contains numerous exercises, and a large selection of exercises includes solutions.

Dynamic Systems Modelling and Optimal Control

Dynamic Systems Modelling and Optimal Control PDF Author: Victoria Miroshnik
Publisher: Springer
ISBN: 1137508957
Category : Business & Economics
Languages : en
Pages : 193

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Book Description
Dynamic Systems Modelling and Optimal Control explores the applications of oil field development, energy system modelling, resource modelling, time varying control of dynamic system of national economy, and investment planning.